265 citations · 1.7k across the 44 of their papers we have counts for
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Multiple normalized solutions for a Sobolev critical Schrödinger equation
Louis Jeanjean, Thanh Trung LE
We study the existence of standing waves, of prescribed -norm (the mass), for the nonlinear Schrödinger equation with mixed power nonlinearities $$ i \partial_t ϕ+ Δϕ+ μϕ|ϕ|^{…
Some non-homogeneous Gagliardo-Nirenberg inequalities and application to a biharmonic non-linear Schrödinger equation
Antonio J. Fernández, Louis Jeanjean, Rainer Mandel +1
We study the standing waves for a fourth-order Schrödinger equation with mixed dispersion that minimize the associated energy when the norm (the \textit{mass}) } is kept fixe…
Orbital stability of ground states for a Sobolev critical Schrödinger equation
Louis Jeanjean, Jacek Jendrej, Thanh Trung Le +1
We study the existence of ground state standing waves, of prescribed mass, for the nonlinear Schrödinger equation with mixed power nonlinearities \begin{equation*} i \partial_t v +…
A mass supercritical problem revisited
Louis Jeanjean, Sheng-Sen Lu
In any dimension and for given mass , we revisit the nonlinear scalar field equation with an constraint: $$ -Δu=f(u)-μu, \quad u \in H^1(\mathbb{R}^N) \quad \te…
Nonhomogeneous quasilinear elliptic problems: linear and sublinear cases
Louis Jeanjean, Vicentiu D. Radulescu
We are concerned with a class of second order quasilinear elliptic equations driven by a nonhomogeneous differential operator introduced by C.A. Stuart and whose study is motivated…